Correlation equation for predicting filter coefficient under unfavorable deposition conditions

AIChE Journal

Volumn 54, Issue 5, 2008, Pages 1235-1253

  Chang, You Im ^a   Chan, Hsun Chih ^a  

^a TUNGHAI UNIVERSITY   (Taiwan)

Author keywords

Correlation; Deposition; Filtration; Particle; Unfavorable condition

Indexed keywords

COMPUTER SIMULATION; CORRELATION METHODS; FILTRATION; MATHEMATICAL MODELS; REGRESSION ANALYSIS;

BROWNIAN DIFFUSION; DLVO INTERACTIONS; GRAVITATIONAL FORCE;

FILTERS (FOR FLUIDS);

COMPUTER SIMULATION; CORRELATION METHODS; FILTERS (FOR FLUIDS); FILTRATION; MATHEMATICAL MODELS; REGRESSION ANALYSIS;

EID: 43749125022     PISSN: 00011541     EISSN: 15475905     Source Type: Journal    
DOI: 10.1002/aic.11466     Document Type: Article

References (27)

1. Verwey EJW, Overbeek JThG. Theory of the Stability of Lyophobic Colloids. Amsterdam, Netherlands: Elsevier Publishers, 1948.
2. Tien C, Ramarao BV. Granular Filtration of Aerosols and Hydrosols, 2nd Edition. Oxford, Great British: Elsevier Publishers, 2007.
3. Bai R, Tien C. Particle deposition under unfavorable surface interactions. J Colloid Interface Sci. 1999;218:488-499.
4. Vaidyanathan R, Tien C. Hydrosol deposition in granular media under unfavorable surface conditions. Chemical Eng Sci. 1991;46: 967-983.
5. Chang YI, Chan HC. Effects of three different network models on the filter coefficient of Brownian particles. Separation Purification Technol. 2006;51:291-302.
6. Payatakes AC, Tien C, Turian RM. Trajectory calculation of particle deposition in deep bed filtration, Part I: Model formulation. AIChE J. 1974;20:889-900.
7. Prieve DC, Ruckenstein E. Effect of London forces upon the rate of deposition of Brownian particles. AIChE J. 1974;20:1178-1187.
8. Elimelech M. Particle deposition on ideal collectors from dilute flowing suspensions: mathematical formulation, numerical solution, and simulations. Separation Technol. 1994;4:186-212.
9. Chang YI, Chen SC, Chan HC, Lee E. Network simulation for deep bed filtration of Brownian particles. Chem Eng Sci. 2004;59:4467-4479.
10. Sharma MM, Yortsos YC. A network model for deep bed filtration processes. AIChE J. 1987;33:1644-1653.
11. IMSL Fortran Library version 5.0, IMSL Corp. Rochester Hills, Michigan, 2005.
12. Chang YI, Chen SC, Lee E. Prediction of Brownian particle deposition in porous media using the constricted tube model. J Colloid Interface Sci. 2003;266:48-59.
13. Fedkiw P, Newman J. Mass transfer at high Peclet number for creeping flow in a packed-bed reactor. AIChE J. 1977;23:255-263.
14. Chow JCF, Soda K. Laminar flow in tubes with constriction. Phys Fluids. 1972;15:1701-1706.
15. Chiang HW, Tien C. Dynamics of deep-bed filtration, Part I: Analysis of two limiting situations. AIChE J. 1985;31:1349-1359.
16. Ramarao BV, Tien C, Mohan S. Calculation of single fiber efficiencies for interception and impaction with superposed Brownian motion. J Aerosol Sci. 1994;25:295-313.
17. Chang YI, Whang JJ. Deposition of Brownian particles in the presence of energy barriers of DLVO theory: effect of the dimensionless groups. Chem Eng Sci. 1998;53:3923-3939.
18. Kanaoka C, Emi H, Tarthapanichakoon W. Convective diffusional deposition and collection efficiency of aerosol on a dust-loaded fiber. AIChE J. 1983;29:895-902.
19. Rajagopalan R, Kim JS. Adsorption of brwonian particles in the presence of potential barriers: effect of different modes of doublelayer interaction. J Colloid Interface Sci. 1981;83:428-448.
20. Yao KM, Habinian MT, O'Melia CR. Water and waste water fitration: concepts and applications. Environ Sci Res. 1971;5:1105-1112.
21. Happel J, Brenner H. 1st paperback Edition. Low Reynolds Number Hydrodynamics. The Hague, Netherlands: Martinus Nijhoff Publishers, 1983. see Chapter 7.
22. Rajagopalan R, Tien C. Trajectory analysis of deep bed filtration with the sphere-in-cell porous media model. AIChE J. 1976;22:523-533.
23. Tufenkji N, Elimelech M. Correlation equation for predicting single-collector efficiency in physicochemical filtration in saturated porous media. Enviro Sci Technol. 2004;38:529-536.
24. Elimelech M, O'Melia CR. Effect of particle size on collision efficiency in the deposition of Brownian particles with electrostatic energy barriers. Langmuir. 1990;6:1153-1163.
25. Elimelech M. Predicting collision efficiencies of colloidal particles in porous media. Water Res. 1992;26:1-8.
26. Vaidyanathan R, Tien C. Hydrosol deposition in granular beds-An experimental study. Chem Eng Commun. 1989;81:123-144.
27. SPSS version 13, SPSS Inc. Chicago, IL, 2005.